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Finding the Fourth Proportional to 218,932.78, 328,443.65 and 69,196.46

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Solution

The fourth proportional to 218,932.78, 328,443.65 and 69,196.46 is: 103,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932.78 : 328,443.65 = 69,196.46 : x
  2. Step 2: Convert to fraction form
    218,932.78/328,443.65 = 69,196.46/x
  3. Step 3: Cross multiply
    218,932.78x = 328,443.65 × 69,196.46
  4. Step 4: Simplify right side
    218,932.78x = 22,727,137,889.48
  5. Step 5: Solve for x
    x = 22,727,137,889.48/218,932.78
  6. Step 6: Final answer
    x = 103,808.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.